Klein's Contribution to Economics and University Penn Through the International Economic Review

Total Page:16

File Type:pdf, Size:1020Kb

Klein's Contribution to Economics and University Penn Through the International Economic Review Klein’sContribution to Economics and University Penn through the International Economic Review Harold Cole Editor of the IER October 24, 2014 Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 1/11 Review The International Economic Review was founded in 1960 by Lawrence Klein and Michio Morishima. They seemed to have first really gotten together at Oxford where Klein was hanging out after it became known that he had briefly been a member of the Communist Party. And it continues as a joint venture between the University of Pennsylvania and Osaka University. From the beginning Klein and Morishima envisioned a journal with broad interests and a strong concern with fundamental advances in the science of economics. That vision led to the Journal’spublishing a host of fundamental articles in Economics across a wide range of fields. Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 2/11 Review Klein in his memorial for Morishima mentioned several articles from the early editions to indicate both the Journal’sbreath and success. Benoit Mandlebrot’sstochastic processes for generating income distributions. J. Harsanyi’sgeneralization of Nash equilibria for game theory. Paul Samuelson’sanalysis of the St. Petersburg Paradox Kenneth Arrow’sand Leonid Hurwicz’sanalysis of Stability and Weak Gross Substitutability. H Nikaido’sand H Uzawa’sStability in a Walrasian Tatonnement Process. Herbert Scarf’sInstability of Competitive Equilibrium. Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 3/11 Review These are some great papers: In looking at some of the most cited papers in the IER over the years, I wanted to add a few favorites of my own to his list. Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 4/11 Review A Limit-Theorem On The Core Of An Economy by Gerard Debreu and Herbert Scarf 1963. Many different allocations can seem plausible. Which ones should we expect to see chosen in equilibrium. Competitive analysis with price-taking offers a very stark mechanism for answering this question. The Core, which captures a more game theoretic mechanism in which subsets of agents can reach agreements, can suggest other answers. In their classic paper, Debreu and Scarf showed that as the economy gets large, these two mechanisms will coincide in terms of their predictions. This paper is a classic in General Equilibrium Theory. Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 5/11 Review Optimum Technical Change In An Aggregative Model Of Economic-Growth by Hirofumi Uzawa 1965. This paper built upon the classic Solow model to ask: if technological progress was costly, how fast should it be. To address this question it posited a law of motion for technical progress which depended upon the share of labor devoted to education. He showed that the economy has a balanced growth path and would evolve towards this path over time. This paper is a classic in Growth Theory. Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 6/11 Review General Competitive Analysis In An Economy With Private Information by Prescott and Townsend 1984. This paper showed how we can extend competitive equilibrium theory to deal with private information. The novelty of their approach was that they used lotteries as commodities. The key to their positive results was that contracting took place prior to individuals realizing their private information, and that lotteries could be used to overcome their incentive constraints in a way that made the commodity space convex. This paper is a classic in both General Equilibrium and Information Theory. Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 7/11 Review Econometric Issues In The Analysis Of Regressions With Generated Regressors by Pagan 1984. This paper address the fact that forecasts appear in a fundamental way in many models that we wish to estimate. Since forecast generally cannot be directly observed, a natural way to generate these forecasts is using standard forecasting methods. But then, we are generating some of the variables in the relationship we are estimating. This paper established conditions in which such a two-step estimation procedure was consistent or effi cient, and when standard statistical inference could be undertaken. This paper is a classic in econometrics, and its results provide a rationale for a key practice in taking modern models with rational expectations to the data. Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 8/11 Review Many of our most cited articles are by current and former Penn faculty: 1 Evaluating Density Forecasts With Applications To Financial Risk Management by Diebold Gunther and Tay 1998. #11 2 Wage Differentials, Employer Size, And Unemployment by Burdett and Mortensen 1998. #14 3 The Terms Of Trade, The Real Exchange-Rate, And Economic-Fluctuations by Mendoza 1995. #38 4 The Effect Of Parental Transfers And Borrowing Constraints On Educational Attainment by Keane and Wolpin 2001. #50 5 Priors From General Equilibrium Models For Vars by Del Negro and Schorfheide 2004. #67 6 An Equilibrium Model Of The Business Cycle With Household Production And Fiscal Policy by McGrattan, Rogerson and Wright 1997. #84 Which reflects how the IER was fundamental to Penn’ssuccess. Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International Economic 9/11 Review The IER created the Klein Lecture annual series which has featured many of the most prominant names in economics. I have listed below a few who have gone on to win Noble prizes. 1 Ed Prescott 1997 2 Jim Heckman 2001 3 Chris Pissarides 2006 4 Eric Maskin 2007 5 Chris Sims 2010 Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International 10/11Economic Review The current members of the IER team will try to stay true to his vision: Editor Harold L. Cole, University of Pennsylvania Co-editor Masaki Aoyagi, Osaka University Editorial Board Hanming Fang, Guido Menzio, Jesus Fernandez-Villaverde, Holger Sieg, University of Pennsylvania Associate Editors George Alessandria, Rochester University Simon Board, UCLA Hulya Eraslan, Johns Hopkins University Christopher Flinn, New York University Pablo Guerron, Researh Department, Federal Reserve Bank of Philadelphia Charles Yuji Horioka, Osaka University Junichiro Ishida, Osaka University Yoshiyasu Ono, Osaka University Matthew Shum, Caltech Senior Editor Assistant Michele Souli, University of Pennsylvania Assistant Editor Hiroko Date, Osaka University Harold Cole, Editor of the IER () Klein’s Contribution to Economics and University Penn throughOctober24,2014 the International 11/11Economic Review.
Recommended publications
  • Zbwleibniz-Informationszentrum
    A Service of Leibniz-Informationszentrum econstor Wirtschaft Leibniz Information Centre Make Your Publications Visible. zbw for Economics Cogliano, Jonathan Working Paper An account of "the core" in economic theory CHOPE Working Paper, No. 2019-17 Provided in Cooperation with: Center for the History of Political Economy at Duke University Suggested Citation: Cogliano, Jonathan (2019) : An account of "the core" in economic theory, CHOPE Working Paper, No. 2019-17, Duke University, Center for the History of Political Economy (CHOPE), Durham, NC This Version is available at: http://hdl.handle.net/10419/204518 Standard-Nutzungsbedingungen: Terms of use: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Documents in EconStor may be saved and copied for your Zwecken und zum Privatgebrauch gespeichert und kopiert werden. personal and scholarly purposes. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle You are not to copy documents for public or commercial Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich purposes, to exhibit the documents publicly, to make them machen, vertreiben oder anderweitig nutzen. publicly available on the internet, or to distribute or otherwise use the documents in public. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, If the documents have been made available under an Open gelten abweichend von diesen Nutzungsbedingungen die in der dort Content Licence (especially Creative Commons Licences), you genannten Lizenz gewährten Nutzungsrechte. may exercise further usage rights as specified in the indicated licence. www.econstor.eu An Account of “the Core” in Economic Theory by Jonathan F. Cogliano CHOPE Working Paper No. 2019-17 September 2019 Electronic copy available at: https://ssrn.com/abstract=3454838 An Account of ‘the Core’ in Economic Theory⇤ Jonathan F.
    [Show full text]
  • The Winners of the Blue Planet Prize 2009 Professor Hirofumi Uzawa
    The Winners of the Blue Planet Prize 2009 Professor Hirofumi Uzawa (Japan) Lord (Nicholas) Stern of Brentford (UK) 2009 Blue Planet Prize Professor Hirofumi Uzawa Lord (Nicholas) Stern of Brentford (Japan) (UK) Member of The Japan Academy Professor, The London School of Economics Professor Emeritus, The University of Tokyo GIFT: This Blue Planet we live on Is blessed to hold life In the universe full of stars brilliantly shining We humankind Are we spending the days by embracing from deep in our heart? The happiness of being born on this blue planet of life As a tiny life born on this planet Caring other lives, cherishing each other Are we pursuing in full, the meaning of our lives? By truly giving our appreciation To the blessings of the “planet of life” Earth It is our great pleasure If the fi lm this time Served you to think About the happiness of living on this blue planet Selected from the Slide Show Presented at the Opening By extending your thoughts of the Awards Ceremony To the gifts from the “planet of life” Earth 151 Their Imperial Highnesses Prince and Princess Akishino His Imperial Highness Prince Akishino congratulates congratulate the laureates at the Congratulatory Party the laureates The prizewinners receive their trophies from Chairman Seya Professor Hirofumi Uzawa Lord (Nicholas) Stern of Brentford Dr. Hiroyuki Yoshikawa, Chairman of the Selection Committee explains the rationale for the determina- tion of the year's winners Hiromichi Seya, Chairman of the Foundation Professor Ichiro Kanazawa, President, Science Council of delivers the opening address Japan (left) and Mr.
    [Show full text]
  • Frontiers in Applied General Equilibrium Modeling: in Honor of Herbert Scarf Edited by Timothy J
    Cambridge University Press 978-0-521-82525-2 - Frontiers in Applied General Equilibrium Modeling: In Honor of Herbert Scarf Edited By Timothy J. Kehoe, T. N. Srinivasan and John Whalley Frontmatter More information FRONTIERS IN APPLIED GENERAL EQUILIBRIUM MODELING This volume brings together fifteen papers by many of the most prominent applied general equilibrium modelers to honor Herbert Scarf, the father of equilibrium computation in economics. It deals with new developments in applied general equilibrium, a field that has broadened greatly since the 1980s. The contributors discuss some traditional as well as some newer topics in the field, including nonconvexities in economy-wide models, tax policy, developmental modeling, and energy modeling. The book also covers a range of new approaches, conceptual issues, and computational algorithms, such as calibration, and new areas of application, such as the macroeconomics of real business cycles and finance. An introductory chapter written by the editors maps out issues and scenarios for the future evolution of applied general equilibrium. Timothy J. Kehoe is Distinguished McKnight University Professor at the University of Minnesota and an advisor to the Federal Reserve Bank of Minneapolis. He has previ- ously taught at Wesleyan University, the Massachusetts Institute of Technology, and the University of Cambridge. He has advised foreign firms and governments on the impact of their economic decisions. He is co-editor of Modeling North American Economic Integration, which examines the use of applied general equilibrium models to analyze the impact of the North American Free Trade Agreement. His current research focuses on the theory and application of general equilibrium models.
    [Show full text]
  • HOW DOES CULTURE MATTER? Amartya Sen 1. Introduction
    Forthcoming in "Culture and Public Action" Edited by Vijayendra Rao and Michael Walton. HOW DOES CULTURE MATTER?1 Amartya Sen 1. Introduction Sociologists, anthropologists and historians have often commented on the tendency of economists to pay inadequate attention to culture in investigating the operation of societies in general and the process of development in particular. While we can consider many counterexamples to the alleged neglect of culture by economists, beginning at least with Adam Smith (1776, 1790), John Stuart Mill (1859, 1861), or Alfred Marshall (1891), nevertheless as a general criticism, the charge is, to a considerable extent, justified. This neglect (or perhaps more accurately, comparative indifference) is worth remedying, and economists can fruitfully pay more attention to the influence of culture on economic and social matters. Further, development agencies such as the World Bank may also reflect, at least to some extent, this neglect, if only because they are so predominately influenced by the thinking of economists and financial experts.2 The economists’ scepticism of the role of culture may thus be indirectly reflected in the outlooks and approaches of institutions like the World Bank. No matter how serious this neglect is (and here assessments can differ), the cultural dimension of development requires closer scrutiny in development analysis. It is important to investigate the different ways - and they can be very diverse - in which culture should be taken into account in examining the challenges of development, and in assessing the demands of sound economic strategies. The issue is not whether culture matters, to consider the title of an important and highly successful book jointly edited by Lawrence Harrison and Samuel Huntington.3 That it must be, given the pervasive influence of culture in human life.
    [Show full text]
  • Optimum Investment in Social Overhead Capital
    This PDF is a selection from an out-of-print volume from the National Bureau of Economic Research Volume Title: Economic Analysis of Environmental Problems Volume Author/Editor: Edwin S. Mills, ed. Volume Publisher: NBER Volume ISBN: 0-87014-267-4 Volume URL: http://www.nber.org/books/mill75-1 Publication Date: 1975 Chapter Title: Optimum Investment in Social Overhead Capital Chapter Author: Hirofumi Uzawa Chapter URL: http://www.nber.org/chapters/c2831 Chapter pages in book: (p. 9 - 26) Optimum Investment in Social Overhead Capital Hiro/umi Uzawa, University of Tokyo Introduction In most industrialized countries, the "environment" has come to play a significant role in recent years both in the process of resource allocation and in the determination of real income distribution. This is primarily due to the fact that, in these countries, the environment has become scarce relative to those resources which may be piivately appropriated and ef- ficiently allocated through the market mechanism. There is no inherent mechanism in a decentralized market economy whereby the scarcity of so- cial resources may be effectively restored. In decentralized economies, most research has been concerned with regulating the use of the environment; few researchers have analyzed the effects the accumulation of the environ- nient may have upon the pattern of resource allocation and income dis- tribution in general. In order to analyze the role played by the environment in the processes of resource allocation and income distribution, it may be convenient to introduce a broader concept of 'social overhead capital," of which the environment may be regarded as an important component.
    [Show full text]
  • Involuntary Unemployment Versus "Involuntary Employment" Yasuhiro Sakai 049 Modern Perspective
    Articles Introduction I One day when I myself felt tired of writing some essays, I happened to find a rather old book in the corner of the bookcase of my study. The book, entitledKeynes' General Theory: Re- Involuntary ports of Three Decades, was published in 1964. Unemployment versus More than four decades have passed since then. “Involuntary As the saying goes, time and tide wait for no man! 1) Employment” In the light of the history of economic thought, back in the 1930s, John Maynard J.M. Keynes and Beyond Keynes (1936) wrote a monumental work of economics, entitled The General Theory of -Em ployment, Interest and Money. How and to what degree this book influenced the academic circle at the time of publication, by and large, Yasuhiro Sakai seemed to be dependent on the age of econo- Shiga University / Professor Emeritus mists. According to Samuelson (1946), contained in Lekachman (1964), there existed two dividing lines of ages; the age of thirty-five and the one of fifty: "The General Theory caught most economists under the age of thirty-five with the unex- pected virulence of a disease first attacking and decimating an isolated tribe of south sea islanders. Economists beyond fifty turned out to be quite immune to the ailment. With time, most economists in-between be- gan to run the fever, often without knowing or admitting their condition." (Samuelson, p. 315) In 1936, Keynes himself was 53 years old be- cause he was born in 1883. Remarkably, both Joseph Schumpeter and Yasuma Takata were born in the same year as Keynes.
    [Show full text]
  • Japan at a Deadlock Also by Michio Morishima
    Japan at a Deadlock Also by Michio Morishima WHY HAS JAPAN ‘SUCCEEDED’? Japan at a Deadlock Michio Morishima STICERD London School of Economics and Political Science Partly translated by Janet Hunter First published in Great Britain 2000 by MACMILLAN PRESS LTD Houndmills, Basingstoke, Hampshire RG21 6XS and London Companies and representatives throughout the world A catalogue record for this book is available from the British Library. ISBN 978-1-349-41154-2 ISBN 978-0-230-51216-0 (eBook) DOI 10.1057/9780230512160 First published in the United States of America 2000 by ST. MARTIN’S PRESS, LLC, Scholarly and Reference Division, 175 Fifth Avenue, New York, N.Y. 10010 Library of Congress Cataloging-in-Publication Data Morishima, Michio, 1923– Japan at a deadlock / Michio Morishima. p. cm. Includes bibliographical references and index. 1. Japan—Economic conditions. 2. Japan—History—1868– 3. Capitalism– –Japan. I. Title. HC462.95 .M6764 2000 330.952—dc21 00–033292 © Michio Morishima 2000 Softcover reprint of the hardcover 1st edition 2000 978-0-333-74894-7 All rights reserved. No reproduction, copy or transmission of this publication may be made without written permission. No paragraph of this publication may be reproduced, copied or transmitted save with written permission or in accordance with the provisions of the Copyright, Designs and Patents Act 1988, or under the terms of any licence permitting limited copying issued by the Copyright Licensing Agency, 90 Tottenham Court Road, London W1P 0LP. Any person who does any unauthorised act in relation to this publication may be liable to criminal prosecution and civil claims for damages.
    [Show full text]
  • ΒΙΒΛΙΟΓ ΡΑΦΙΑ Bibliography
    Τεύχος 53, Οκτώβριος-Δεκέμβριος 2019 | Issue 53, October-December 2019 ΒΙΒΛΙΟΓ ΡΑΦΙΑ Bibliography Βραβείο Νόμπελ στην Οικονομική Επιστήμη Nobel Prize in Economics Τα τεύχη δημοσιεύονται στον ιστοχώρο της All issues are published online at the Bank’s website Τράπεζας: address: https://www.bankofgreece.gr/trapeza/kepoe https://www.bankofgreece.gr/en/the- t/h-vivliothhkh-ths-tte/e-ekdoseis-kai- bank/culture/library/e-publications-and- anakoinwseis announcements Τράπεζα της Ελλάδος. Κέντρο Πολιτισμού, Bank of Greece. Centre for Culture, Research and Έρευνας και Τεκμηρίωσης, Τμήμα Documentation, Library Section Βιβλιοθήκης Ελ. Βενιζέλου 21, 102 50 Αθήνα, 21 El. Venizelos Ave., 102 50 Athens, [email protected] Τηλ. 210-3202446, [email protected], Tel. +30-210-3202446, 3202396, 3203129 3202396, 3203129 Βιβλιογραφία, τεύχος 53, Οκτ.-Δεκ. 2019, Bibliography, issue 53, Oct.-Dec. 2019, Nobel Prize Βραβείο Νόμπελ στην Οικονομική Επιστήμη in Economics Συντελεστές: Α. Ναδάλη, Ε. Σεμερτζάκη, Γ. Contributors: A. Nadali, E. Semertzaki, G. Tsouri Τσούρη Βιβλιογραφία, αρ.53 (Οκτ.-Δεκ. 2019), Βραβείο Nobel στην Οικονομική Επιστήμη 1 Bibliography, no. 53, (Oct.-Dec. 2019), Nobel Prize in Economics Πίνακας περιεχομένων Εισαγωγή / Introduction 6 2019: Abhijit Banerjee, Esther Duflo and Michael Kremer 7 Μονογραφίες / Monographs ................................................................................................... 7 Δοκίμια Εργασίας / Working papers ......................................................................................
    [Show full text]
  • The Measurement of Environmental and Resource Values: Theory and Methods
    The Measurement of Environmental and Resource Values The first edition of this important work was the winner of the 2002 Publication of Enduring Quality award by the Association of Environmental and Resource Economists. The continuing premise for the book is that estimates of the economic values of environmental and natural resource services are essential for effective policy-making. Like previous editions, the third edition, which includes two additional co-authors, presents a comprehensive treatment of the theory and methods involved in estimating environmental benefits. Researchers, policy-makers, and practitioners will welcome the work as an up- to-date reference on recent developments. Students will gain a better understanding of the contribution that economics as a discipline can make to decisions concerning pollution control and human health, recreation, environmental amenities, and other critical issues concerning the way we use and interact with environmental and natural resource systems. To reflect recent progress in both the theory and practice of non-market valuation, this third edition includes more details on empirical approaches to measurement, expanded discussion of the reasons for divergence between “willingness to pay” and “willingness to accept compensation,” and increased coverage of econometric issues encountered in estimation. In keeping with its cutting-edge orientation, it also includes more discussion of survey design, equilibrium sorting models, and the implications of behavioral economics for welfare measurements and benefit cost analysis. A. Myrick Freeman III is William D. Shipman Professor of Economics Emeritus at Bowdoin College in Maine, USA, and a former Senior Fellow at Resources for the Future (RFF), Washington DC, USA. Joseph A.
    [Show full text]
  • On Marx, the Transformation Problem and Opacity Baumol - Samuelson - Morishima
    This content downloaded from 193.49.18.51 on Mon, 25 Aug 2014 11:37:14 UTC All use subject to JSTOR Terms and Conditions On Marx, the Transformation Problem and Opacity Baumol - Samuelson - Morishima Editor's Note: Few articles in the historyof the JEL have stirred the controversythat Paul A. Samuel- son's "Understandingthe Marxian Notion ofExploitation: A Summary of the So-called Transformation Problembetween Marxian Valuesand CompetitivePrices, "J. Econ. Lit., June 1971, 9 (2), pp. 399-431, did. We have already had one "terminal"discussion of the reaction-Bronfenbrenner, M. "Samuelson, Marx, and TheirLatest Critics,"and "Samuelson's 'Replyon Marxian Matters' "J. Econ. Lit., March 1973, 11 (1), pp. 59-63. ProfessorBaumol has found a history of thought approach to the topic which deserves the attention of all economists who have an interest in Marx, Marxism, or the evolution of classical economic thought. We print his essay here. Professor Samuelson sought to comment on Baumol's work,and wegive his views,as well. In the course ofSamuelson 's reply, he "tookon "Professor Morishimca,who quite naturally wanted to add a few words offurther explanation. We have finally allowed ProfessorsBaumol and Samuelson to share in what we hope are the "last words." M.P. The Transformation of Values: What Marx "Really" Meant (An Interpretation) By WILLIAM J. BAUMOL Princeton and New York Universities I would like to thank the students in my seminar on doctrinal history at Princeton Universitywhose discussions contributedgreatly to the ideas in this paper. I am also grateful to Elizabeth Bailey, Fritz Machlup, Michio Morishima and Paul Samuelson for their very helpful comments on earlier drafts of this paper.
    [Show full text]
  • The Stability of Walrasian General Equilibrium with Decentralized Price Adjustment
    The Stability of Walrasian General Equilibrium with Decentralized Price Adjustment Herbert Gintis and Antoine Mandel∗† September 30, 2014 Abstract We study a completely decentralized Walrasian general equilibrium econ- omy with trade occurring out of equilibrium. Prices are fully controlled by economic agents and updated according to an evolutionary learning process. This approach to price dynamics overcomes the failure of a centralized price adjustment process (tˆatonnement) to provide dynamical foundations for gen- eral equilibrium. In our setting, the law of one-price, price-taking behavior and market equilibrium are stochastically approximated long-run emergent properties of a complex dynamical system. Journal of Economic Literature Classifications: C62—Existence and Stability Conditions of Equilibrium D51—Exchange and Production Economies D58—Computable and Other Applied General Equilibrium Economies 1 Introduction Walras (1874) developed a general model of competitive market exchange, but provided only an informal argument for the existence of a market-clearing equi- librium for this model. Wald (1951[1936]) provided a proof of existence for a simplified version of Walras’ model. This proof was substantially generalized by Debreu (1952), Arrow and Debreu (1954), Gale (1955), Nikaido (1956), McKenzie (1959), Negishi (1960), and others. ∗The authors contributed equally to this research. Gintis: Santa Fe Institute; Mandel: Paris School of Economics, University of Paris 1 Panth´eon-Sorbonne. The authors acknowledgethe support of In- stitute for New Economic Thinking grant INO1200022. Antoine Mandel also acknowledgessupport from the EU-FP7 project SIMPOL. We dedicate this paper to Hirofumi Uzawa. He will be sorely missed. †Corresponding author, email:[email protected], tel/fax:+3314407 8271/8301 1 The stability of the Walrasian economy became a central research focus in the years following the existence proofs (Arrow and Hurwicz 1958, 1959, 1960; Ar- row, Block and Hurwicz 1959; Nikaido 1959; McKenzie 1960; Nikaido and Uzawa 1960).
    [Show full text]
  • Shapley and Scarf in 1974
    Journal of Mathematical Economics 1 (1974) 23-37. 0 North-Holland Publishing Company ON CORES AND EWMSIBILITY* Lloyd SHAPLEY The Rand Corporation, Santa Monica, Cal$90406, U.S.A. and Herbert SCARF Yale University, New Haven, Conn. 06520, U.S.A. Received 11 September 1973 An economic model of trading in commodities that are inherently indivisible, like houses, is investigated from a game-theoretic point of view. The concepts of balanced game and core are developed, and a general theorem of Scarf’s is applied to prove that the market in question has a nonempty core, that is, at least one outcome that no subset of traders can improve upon. A number of examples are discussed, and the final section reviews a series of other models involving indivisible commodities, with references to the literature. 1. Introduction This paper has two purposes. To the reader interested in the mathematics of optimization, it offers an elementary introduction to n-person games, balanced sets, and the core, applying them to a simple but nontrivial trading model. To the reader interested in economics, it offers what may be a new way of looking at the difficulties that afflict the smooth functioning of an economy in the presence of commodities that come in large discrete units. The core of an economic model, or of any multilateral competitive situation, may be described as the set of outcomes that are ‘coalition optimal’, in the sense that they cannot be profitably upset by the collusive action of any subset of the participants, acting by themselves. There is no reason, a priori, that such outcomes must exist; the core may well be empty.
    [Show full text]